A family of exceptional polynomials in characteristic three

Abstract

We present a family of indecomposable polynomials of non prime-power degree over the finite field of three elements which are permutation polynomials over infinitely many finite extensions of the field. The associated geometric monodromy groups are the simple groups PSL2(3 ), where k≥3 is odd. This realizes one of the few possibilities for such a family… (More)

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